George walks 1 mile to school. he leaves home at the same time each day, walks at a steady speed of 3 miles per hour, and arrives just as school begins. today he was distracted by the pleasant weather and walked the first 12 mile at a speed of only 2 miles per hour. at how many miles per hour must george run the last 12 mile in order to arrive just as school begins today?

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl